Delay Dependent Robust H ∞ Stabilization of Uncertain Discrete Systems with Delays

The robust H infin stabilization problem of uncertain discrete systems with delays is investigated. By means of descriptor system transformation, a new delay-dependent sufficient condition of robust stabilization is given. Then, a new memoryless H infin feedback-controller is designed based on the new stability criterion, which can be constructed by solving a set of linear matrix inequalities (LMIs). Finally, numerical examples are given to illustrate the effectiveness of the proposed method